Question

Solve for H.........

Answer 1

H = 3.46

Explanation:

By applying mean ratio theorem in the given triangles,

`(BD)/(AD)= (AD)/(DC)`

AD² = BD × DC

AD² = (6 - 4) × 4

AD = √8

AD = 2√2

By applying Pythagoras theorem in ΔABD,

Hypotenuse² = (leg 1)² + (leg 2)²

AB² = AD² + BD²

H² = (√8)² + 2²

H² = 8 + 4

H = √12

H = 3.46